A Nonconvex Variational Problem with Constraints

DOI10.1137/S0363012992235043zbMath0828.49001OpenAlexW2149590882MaRDI QIDQ4763550

Micol Amar, Carlo Mariconda

Publication date: 7 January 1996

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012992235043

zbMATH Keywords

calculus of variationsrelaxed problemexistence resultsLyapunov convexity theoremlack of lower semicontinuity

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for free problems in one independent variable (49J05)

Related Items (7)

A pointwise constrained version of the Liapunov convexity theorem for vectorial linear first-order control systems ⋮ Special bang-bang solutions for nonlinear control systems ⋮ A pointwise constrained version of the Liapunov convexity theorem for single integrals ⋮ Existence for a nonconvex optimal control problem with nonlinear dynamics ⋮ The Existence Question in the Calculus of Variations: A Density Result ⋮ A variational problem related to a continuous-time allocation process for a continuum of traders ⋮ Existence and regularity for scalar minimizers of affine nonconvex simple integrals.

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